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Learn about the scientific method, measurement techniques, and the concept of density in this introductory chapter of chemistry. Explore the importance of significant digits, scientific notation, and the factor-label method. Understand why some substances float while others sink and discover how to calculate the density of solid and liquid objects.
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Chemistry – • the study of all substances and the changes they can undergo. Scientific Method- • Observation • Stating a Question • Hypothesis – possible answer • Experiment • Conclusion – what you found in your experiment
Scientific method leads to Natural Law – Tells you how nature behaves but not why it behaves. Finally you form a Theory – Explains why nature behaves in the way described by natural law. Used for prediction of results for further experiments.
During the experiment… • Experimental Control - Factor that remains constant during the experiment. It is compared with the variable. • Variable - Factor that is being tested during the experiment.
Measurement… • When we perform experiments, we need to use some form of measurement. • Metric System – International set of units (SI)
Base units- • Mass = kilogram (kg) • Length = meter (m) • Time = seconds (s) • Count, quantity = mole (mol) • Temperature = Kelvin (K) • Electric Current = ampere (A) • Luminous intensity = candela (cd)
Derived Units – made from combining 2 or more base units. • Ex. Area = length x width = m2 • Volume = length x width x height = cm3 • Density = mass / volume = g/cm3
Exceptions to SI units… • Volume = liter (L) • Pressure = atmosphere millimeter of Hg (atm mm Hg) • Aka Pascal • Temperature = Celsius degree (Co) • Energy = Calorie (cal)
Reliability in Measurement • Accuracy vs. Precision • Precision – Measurement that gives the same result again and again under the same conditions • Accuracy – Measurement that is close to the accepted value.
Significant Digits – Defined as certain digits and the estimated digit of a measurement. • Rules for determining sig. Digs. • “0”s as placeholders are NOT significant! • Ex. 1040 g or 0.0064 m
Atlantic – Pacific Rule • If the decimal is Present, count from the Pacific side (left) beginning with the first non-zero digit • If the decimal is Absent, count from the Atlantic side beginning with the first non-zero digit.
How many significant Digits are present? • 1700 cm • 0.00960 kg • 64050 L • 45.00 mg • 0.0607 m
How many sig. digs. are present? • 10100 mL • 0.50090 dg • 6.60 x 10-8mL • 2.00 x 103 g • 4. 010 x 104 L
Calculation rules for Sig. Digs. • Multiplication and Division • The measurement with the SMALLEST NUMBER OF SIG. DIGS. Determines how many digits are allowed in the answer. • Ex. 4.3 x 6.45 will have 2 sig. digs. in the answer. • 27.735 = 28
Addition and Subtraction • The number of significant digits is dependent upon or rounded off to the measurement with the largest uncertainty. ***Use the least amount of decimal spots*** • Ex. 6.45 + 2.36 + 4.6 = • 13.41 rounded to 13.4
Scientific Notation • Why use it? • Distance from the sun = 93,000,000 miles • Al strip = 4.12 g contains 1.2 x 1023 atoms
Rules for Scientific Notation • Express the same number of significant digits • Keep one digit to the left of the decimal point • Multiplication and Division, add the number of exponents
Simplify the following: • (4.2 x 106)(1.1 x 10-2) 2.3 x 102 • (5.0 x 105)(1.2 x 101) 9.0 x 1010
2.0 x 10^2 • 6.7 x 10^-5
Factor-Label Method/ Dimensional Analysis • Problem Solving Method • Treat units as factors, which can be cancelled • Must know your equalities/conversion factors • Choose the equality that cancels out the original unit
Steps: • 1) Begin with known • 2) Decide upon equality (write this near the problem) • 3) Arrange units to cancel out original • 4) Do the math!
How many seconds are in 4 hours? • How many kilograms are in 5 g? • Change 286 cg to Mg.
To change from English to Metric units, use chart on page 38. • How many inches are in 354 cm?
Ratios – common method of expressing results and/or measurement in chemistry • Similar to a fraction • Units in numerator and denominator
Ex. • Speed = mph • Lunchmeat = dollars/lb • Density = g/cm3 or g/mL • Population Density = people/km2 • Pressure = psi or p/in2
Most substances-Solid forms sink in its own liquid because solid form is more dense. • EXCEPTION- Water. • The freezing point of water is 0 degrees C. • Solid ice floats in liquid water. • Water is most dense at 4 degrees C.
What would happen if ice did not float to… • The ocean? • It would freeze • The earth’s temperature? • It would decrease
The icebergs? • They would sink and never melt • The earth? • It would freeze • Life? • It would cease to exist
Solid Density • Used to find the density of solid objects. • Regular geometric shapes vs. irregular shapes.
Liquid Density • The density of water • 1g/mL @ 4 degrees C • Other fluids have different densities • Oil floats on water • Density – mass per unit of volume
Ex. • Zinc Cylinder • Diameter is 1.22 cm • Height = 3.28 cm • Mass = 28.79g
V= ∏r² h • h= 3.14 x (0.61cm)² x 3.28cm =3.83cm³ • V= 3.83 cm3 • M= 28.79 g • D= m/v = 28.79g/3.83cm³ =7.52g/cm3